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Zbl 0603.68035
Kovacic, Jerald J.
An algorithm for solving second order linear homogeneous differential equations. (English)
[J] J. Symb. Comput. 2, 3-43 (1986). ISSN 0747-7171

Summary: In this paper we present an algorithm for finding a ``closed-form" solution of the differential equation $y''+ay'+by$, where $a$ and $b$ are rational functions of a complex variable $x$, provided a ``closed-form" solution exists. The algorithm is so arranged that if no solution is found, then no solution can exist.

MSC 2000:: *68W30 Symbolic computation and algebraic computation
34A05 Methods of solution of ODE

Keywords: closed-form solution

Cited in: Zbl 1215.12001 Zbl 1038.12006 Zbl 0997.12011 Zbl 0966.12003 Zbl 0877.12004 Zbl 0871.12008 Zbl 0855.12006 Zbl 0835.65091 Zbl 1058.34503 Zbl 0760.12005 Zbl 0752.12004 Zbl 0728.34007

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